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Finding the Third Proportional to 601,856 and 1,271,264

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Solution

The third proportional to 601,856 and 1,271,264 is: 2,685,214.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,856 : 1,271,264 = 1,271,264 : x
  2. Step 2: Convert to fraction form
    601,856/1,271,264 = 1,271,264/x
  3. Step 3: Cross multiply
    601,856x = 1,271,264 × 1,271,264
  4. Step 4: Simplify right side
    601,856x = 1,616,112,157,696
  5. Step 5: Solve for x
    x = 1,616,112,157,696/601,856
  6. Step 6: Final answer
    x = 2,685,214.00

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.